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Author Borwein, Jonathan M

Title Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff

Publ Info Cambridge : Cambridge University Press, 2010
 RWU Main Library  QA331.5 .B67 2010    AVAILABLE
 URI  QA331.5 .B67 2010    AVAILABLE
Descript x, 521 pages : illustrations ; 25 cm
text rdacontent
unmediated rdamedia
volume rdacarrier
Series Encyclopedia of mathematics and its applications ; 109
Note Includes bibliographical references (p. [485]-507) and index
Contents Why convex? -- Convex functions on Euclidean spaces -- Finer structure of Euclidean spaces -- Convex functions on Banach spaces -- Duality between smoothness and strict convexity -- Further analytic topics -- Barriers and Legendre functions -- Convex functions and classifications of Banach spaces -- Monotone operators and the Fitzpatrick function -- Further remarks and notes
Note This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces
LC subject Convex functions
Banach spaces
Geometry, Non-Euclidean
Add Author Vanderwerff, Jon D
ISBN 9780521850056 (cased)